What is the Greatest Common Factor of 43624 and 43636?

Greatest common factor (GCF) of 43624 and 43636 is 4.

GCF(43624,43636) = 4

We will now calculate the prime factors of 43624 and 43636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43624 and 43636.

How to find the GCF of 43624 and 43636?

We will first find the prime factorization of 43624 and 43636. After we will calculate the factors of 43624 and 43636 and find the biggest common factor number .

Step-1: Prime Factorization of 43624

Prime factors of 43624 are 2, 7, 19, 41. Prime factorization of 43624 in exponential form is:

43624 = 2³ × 7¹ × 19¹ × 41¹

Step-2: Prime Factorization of 43636

Prime factors of 43636 are 2, 10909. Prime factorization of 43636 in exponential form is:

43636 = 2² × 10909¹

Step-3: Factors of 43624

List of positive integer factors of 43624 that divides 43624 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 41, 56, 76, 82, 133, 152, 164, 266, 287, 328, 532, 574, 779, 1064, 1148, 1558, 2296, 3116, 5453, 6232, 10906, 21812

Step-4: Factors of 43636

List of positive integer factors of 43636 that divides 43624 without a remainder.

1, 2, 4, 10909, 21818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43624 and 43636. The biggest common factor number is the GCF number.
So the greatest common factor 43624 and 43636 is 4.

Also check out the Least Common Multiple of 43624 and 43636